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Category: Geometry

Question-203009

Question Number 203009 by cortano12 last updated on 07/Jan/24 Answered by som(math1967) last updated on 07/Jan/24 $${Perimeter}=\mathrm{80} \\ $$$${AD}={AG}+{GD}=\mathrm{8}+\mathrm{8}=\mathrm{16}{unit} \\ $$$${AB}=\frac{\mathrm{80}}{\mathrm{2}}\:−\mathrm{16}=\mathrm{24}{unit} \\ $$$${FB}=\mathrm{24}−\mathrm{8}=\mathrm{16} \\ $$$${FQ}=\mathrm{16}−{R}…

Question-202684

Question Number 202684 by ajfour last updated on 31/Dec/23 Answered by mr W last updated on 02/Jan/24 $$\mathrm{cos}\:\alpha=\frac{{s}^{\mathrm{2}} +{q}^{\mathrm{2}} −\left(\frac{{s}}{\mathrm{2}}\right)^{\mathrm{2}} }{\mathrm{2}{sq}}=\frac{\mathrm{3}{s}^{\mathrm{2}} +\mathrm{4}{q}^{\mathrm{2}} }{\mathrm{8}{sq}} \\ $$$$\mathrm{cos}\:\beta=\frac{{p}}{\mathrm{2}{s}}=\frac{{s}−{q}}{\mathrm{2}{s}}=\mathrm{sin}\:\alpha…

Question-202679

Question Number 202679 by Mingma last updated on 31/Dec/23 Answered by esmaeil last updated on 31/Dec/23 $$\curvearrowright\rightarrow<_{{hex}} =\mathrm{120}\rightarrow \\ $$$${tan}\mathrm{30}=\frac{{h}}{\frac{{a}}{\mathrm{2}}}\rightarrow{h}=\frac{\sqrt{\mathrm{3}}{a}}{\mathrm{6}} \\ $$$$\mathrm{2}\left(\frac{{a}}{\mathrm{2}}×\frac{\sqrt{\mathrm{3}}{a}}{\mathrm{6}}×\frac{\mathrm{1}}{\mathrm{2}}\right)=\mathrm{43}=\left({S}_{{blue}} +{S}_{{pink}} \right)\rightarrow \\…